199993716974832 has 160 divisors (see below), whose sum is σ = 572691083210496. Its totient is φ = 59635989504000.

The previous prime is 199993716974791. The next prime is 199993716974833. The reversal of 199993716974832 is 238479617399991.

199993716974832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199993716974833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2811393 + ... + 20196320.

Almost surely, 2^{199993716974832} is an apocalyptic number.

199993716974832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199993716974832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286345541605248).

199993716974832 is an abundant number, since it is smaller than the sum of its proper divisors (372697366235664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199993716974832 is a wasteful number, since it uses less digits than its factorization.

199993716974832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23007999 (or 23007993 counting only the distinct ones).

The product of its digits is 9999593856, while the sum is 87.

The spelling of 199993716974832 in words is "one hundred ninety-nine trillion, nine hundred ninety-three billion, seven hundred sixteen million, nine hundred seventy-four thousand, eight hundred thirty-two".